US2025085462A1PendingUtilityA1

Optical filter, method of manufacturing optical filter, method of designing, design apparatus, and non-transitory computer-readable recording medium

Assignee: SUMITOMO ELECTRIC INDUSTRIESPriority: Sep 11, 2023Filed: Aug 21, 2024Published: Mar 13, 2025
Est. expirySep 11, 2043(~17.1 yrs left)· nominal 20-yr term from priority
G06F 2119/18G02B 2006/12159G06F 30/20G02B 6/12G02B 6/136G02B 6/2766G02B 6/2773G02B 6/126G02B 27/0012G02B 6/122G02B 6/13G02B 5/28
60
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Claims

Abstract

A method of manufacturing an optical filter is a method of manufacturing an optical filter including two or more waveguides having four or more sections in which a number of modes of light propagating through the four or more sections is two or more. The method includes designing lengths of the four or more sections, and forming the two or more waveguides based on the lengths of the four or more sections. The designing includes designing the lengths of the four or more sections based on differentiation of propagation constants of the sections with respect to a temperature and widths of the sections.

Claims

exact text as granted — not AI-modified
1 . A method of manufacturing an optical filter, the optical filter including two or more waveguides, the two or more waveguides having four or more sections, a number of modes of light propagating through the four or more sections being two or more, the method comprising:
 designing lengths of the four or more sections; and   forming the two or more waveguides based on the lengths of the four or more sections;   wherein the designing includes designing the lengths of the four or more sections based on differentiations of propagation constants of the sections with respect to a temperature and widths of the sections.   
     
     
         2 . The method of manufacturing the optical filter according to  claim 1 , wherein
 the designing the lengths of the four or more sections includes designing the lengths of the four or more sections based on Equation 1:   
       
         
           
             
               
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                           
                         
                         ) 
                       
                       ⁢ 
                       
                         ( 
                         
                           
                             
                               
                                 L 
                                 ⁢ 
                                 1 
                               
                             
                           
                           
                             
                               ⋮ 
                             
                           
                           
                             
                               
                                 L 
                                 ⁢ 
                                 n 
                               
                             
                           
                         
                         ) 
                       
                     
                     = 
                     
                       ( 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             
                               
                                 λ 
                                 2 
                               
                               FSR 
                             
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ) 
                     
                   
                 
                 
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
       where
 L1 to Ln each denote length of section, 
 β1 to βn each denote propagation constant of section, 
 T denotes temperature, 
 λ denotes wavelength, 
 k denotes wave number, 
 FSR denotes interval between peaks of spectrum, and 
 w denotes width of section. 
 
     
     
         3 . The method of manufacturing the optical filter according to  claim 1 , wherein
 the four or more sections include a first section, a second section, a third section, and a fourth section, and   the designing the lengths of the four or more sections is designing a length of the first section, a length of the second section, a length of the third section, and a length of the fourth section.   
     
     
         4 . A method of designing an optical filter, the optical filter including two or more waveguides, the two or more waveguides having four or more sections, a number of modes of light propagating through the four or more sections being two or more, the method comprising:
 designing lengths of the four or more sections based on differentiations of propagation constants of the sections with respect to a temperature and widths of the sections.   
     
     
         5 . The method of designing the optical filter according to  claim 4 , wherein
 the designing the lengths of the four or more sections includes designing the lengths of the four or more sections based on Equation 1:   
       
         
           
             
               
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                           
                         
                         ) 
                       
                       ⁢ 
                       
                         ( 
                         
                           
                             
                               
                                 L 
                                 ⁢ 
                                 1 
                               
                             
                           
                           
                             
                               ⋮ 
                             
                           
                           
                             
                               
                                 L 
                                 ⁢ 
                                 n 
                               
                             
                           
                         
                         ) 
                       
                     
                     = 
                     
                       ( 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             
                               
                                 λ 
                                 2 
                               
                               FSR 
                             
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ) 
                     
                   
                 
                 
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
       where
 L1 to Ln each denote length of section, 
 β1 to βn each denote propagation constant of section, 
 T denotes temperature, 
 λ denotes wavelength, 
 k denotes wave number, 
 FSR denotes interval between peaks of spectrum, and 
 w denotes width of section. 
 
     
     
         6 . The method of designing the optical filter according to  claim 4 , wherein
 the four or more sections include a first section, a second section, a third section, and a fourth section, and   the designing the lengths of the four or more sections is designing a length of the first section, a length of the second section, a length of the third section, and a length of the fourth section.   
     
     
         7 . A design apparatus for designing an optical filter, the optical filter including two or more waveguides, the two or more waveguides having four or more sections, a number of modes of light propagating through the four or more sections being two or more, the design apparatus comprising:
 a designer that designs lengths of the four or more sections based on differentiations of propagation constants of the sections with respect to a temperature and widths of the sections.   
     
     
         8 . The design apparatus for designing an optical filter according to  claim 7 , wherein
 the designing the lengths of the four or more sections includes designing the lengths of the four or more sections based on Equation 1:   
       
         
           
             
               
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                           
                         
                         ) 
                       
                       ⁢ 
                       
                         ( 
                         
                           
                             
                               
                                 L 
                                 ⁢ 
                                 1 
                               
                             
                           
                           
                             
                               ⋮ 
                             
                           
                           
                             
                               
                                 L 
                                 ⁢ 
                                 n 
                               
                             
                           
                         
                         ) 
                       
                     
                     = 
                     
                       ( 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             
                               
                                 λ 
                                 2 
                               
                               FSR 
                             
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ) 
                     
                   
                 
                 
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
       where
 L1 to Ln each denote length of section, 
 β1 to βn each denote propagation constant of section, 
 T denotes temperature, 
 λ denotes wavelength, 
 k denotes wave number, 
 FSR denotes interval between peaks of spectrum, and 
 w denotes width of section. 
 
     
     
         9 . The design apparatus for designing an optical filter according to  claim 7 , wherein
 the four or more sections include a first section, a second section, a third section, and a fourth section, and   the designing the lengths of the four or more sections is designing a length of the first section, a length of the second section, a length of the third section, and a length of the fourth section.   
     
     
         10 . A non-transitory computer-readable recording medium having stored therein a program for causing a computer for designing an optical filter to execute a process,
 the optical filter including two or more waveguides, the two or more waveguides having four or more sections, a number of modes of light propagating through the four or more sections being two or more, and the process comprising:
 designing lengths of the four or more sections based on differentiations of propagation constants of the sections with respect to a temperature and widths of the sections. 
   
     
     
         11 . The non-transitory computer-readable recording medium according to  claim 10 , wherein
 the designing the lengths of the four or more sections includes designing the lengths of the four or more sections based on Equation 1:   
       
         
           
             
               
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   T 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     λ 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     ∂ 
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   ∂ 
                                   k 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   1 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 
                                   
                                     
                                       ∂ 
                                       2 
                                     
                                     β 
                                   
                                   ⁢ 
                                   n 
                                 
                                 
                                   
                                     ∂ 
                                     T 
                                   
                                   ⁢ 
                                   
                                     ∂ 
                                     w 
                                   
                                 
                               
                             
                           
                         
                         ) 
                       
                       ⁢ 
                       
                         ( 
                         
                           
                             
                               
                                 L 
                                 ⁢ 
                                 1 
                               
                             
                           
                           
                             
                               ⋮ 
                             
                           
                           
                             
                               
                                 L 
                                 ⁢ 
                                 n 
                               
                             
                           
                         
                         ) 
                       
                     
                     = 
                     
                       ( 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             
                               
                                 λ 
                                 2 
                               
                               FSR 
                             
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ) 
                     
                   
                 
                 
                   
                     ( 
                     1 
                     ) 
                   
                 
               
             
           
         
       
       where
 L1 to Ln each denote length of section, 
 β1 to βn each denote propagation constant of section, 
 T denotes temperature, 
 λ denotes wavelength, 
 k denotes wave number, 
 FSR denotes interval between peaks of spectrum, and 
 w denotes width of section. 
 
     
     
         12 . The non-transitory computer-readable recording medium according to  claim 10 , wherein
 the four or more sections include a first section, a second section, a third section, and a fourth section, and   the designing the lengths of the four or more sections is designing a length of the first section, a length of the second section, a length of the third section, and a length of the fourth section.   
     
     
         13 . An optical filter comprising:
 two or more waveguides; and   four or more sections provided for the two or more waveguides,   wherein at least two or more modes of light propagate through the four or more sections.

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